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AuthorHashim, I.
AuthorAbdulaziz, O.
AuthorMomani, S.
Available date2009-12-27T10:18:52Z
Publication Date2007-09-30
Publication NameCommunications in Nonlinear Science and Numerical Simulation
CitationHashim, I., Abdulaziz, O., & Momani, S. (2009). Homotopy analysis method for fractional IVPs. Communications in Nonlinear Science and Numerical Simulation, 14(3), 674–684
AbstractIn this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach.
SubjectFractional IVPs
Homotopy analysis method
Caputo’s fractional derivative
TitleHomotopy analysis method for fractional IVPs

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